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66724344 = 23331072887
BaseRepresentation
bin1111111010001…
…0000111111000
311122112221121000
43332202013320
5114040134334
610342045000
71440101421
oct376420770
9148487530
1066724344
1134733a95
121a419760
1310a9287b
148c0c648
155cd0299
hex3fa21f8

66724344 has 64 divisors (see below), whose sum is σ = 187142400. Its totient is φ = 22025952.

The previous prime is 66724321. The next prime is 66724351. The reversal of 66724344 is 44342766.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 66724299 and 66724308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21669 + ... + 24555.

It is an arithmetic number, because the mean of its divisors is an integer number (2924100).

Almost surely, 266724344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66724344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93571200).

66724344 is an abundant number, since it is smaller than the sum of its proper divisors (120418056).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

66724344 is a wasteful number, since it uses less digits than its factorization.

66724344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3009 (or 2999 counting only the distinct ones).

The product of its digits is 96768, while the sum is 36.

The square root of 66724344 is about 8168.4970465808. The cubic root of 66724344 is about 405.5970343959.

The spelling of 66724344 in words is "sixty-six million, seven hundred twenty-four thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 107 108 214 216 321 428 642 856 963 1284 1926 2568 2887 2889 3852 5774 5778 7704 8661 11548 11556 17322 23096 23112 25983 34644 51966 69288 77949 103932 155898 207864 308909 311796 617818 623592 926727 1235636 1853454 2471272 2780181 3706908 5560362 7413816 8340543 11120724 16681086 22241448 33362172 66724344